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Introduction to first order homogenous equations.

Now that we've made the equation exact, let's solve it!

Using an integrating factor to make a differential equation exact

One more exact equation example

Some more exact equation examples

First example of solving an exact differential equation.

More intuitive building blocks for exact equations.

Chain rule using partial derivatives (not a proof; more intuition).

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❧ From the The Lord of the Rings: The Return of the King, The Complete Recordings: The Day...

The ships have come to carry you home . . .

Factors that might shift aggregate demand